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If aluminium and copper wires of the same length have the same

resistance, which has the larger diameter? Why?

Short Answer

Expert verified

As aluminum’s resistivity is higher than copper's, and resistivity is related to the

cross-sectional area, the aluminum wire has a bigger diameter.

Step by step solution

01

Definition of resistance

In an electrical circuit, resistance is a measure of the resistance to current

flow. The Greek letter omega (Ω) is used to represent resistance in ohms.

02

Finding the larger diameter

The given resistance is:

R=Òϳ¢A

Copper's resistivity is lower than that of Aluminum, as shown in table 20.1.

Given that they both have the same resistance,

ÒÏaAa=ÒÏcAc

As a result, Copper's cross-sectional area must be less than Aluminum’s for both to

have the same resistance.

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Most popular questions from this chapter

(a) Redo Exercise\({\rm{20}}{\rm{.25}}\)taking into account the thermal expansion of the tungsten filament. You may assume a thermal expansion coefficient of\({\text{12}} \times {\text{1}}{{\text{0}}^{{\text{ - 6}}}}{\text{ / C}}\).

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